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Updated map projections

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ClemensFischer 2026-01-15 10:58:54 +01:00
parent d6cdd5dc38
commit 5334bb4ea6
4 changed files with 35 additions and 54 deletions
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2
MapControl/Shared/MapBase.cs
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@ -202,7 +202,7 @@ namespace MapControl
/// </summary> /// </summary>
public Matrix GetMapTransform(Location location) public Matrix GetMapTransform(Location location)
{ {
var mapScale = GetMapScale(location); var mapScale = GetMapScale(location.Latitude, location.Longitude);
var transform = new Matrix(mapScale.X, 0d, 0d, mapScale.Y, 0d, 0d); var transform = new Matrix(mapScale.X, 0d, 0d, mapScale.Y, 0d, 0d);
transform.Rotate(ViewTransform.Rotation); transform.Rotate(ViewTransform.Rotation);

8
MapControl/Shared/MapProjectionFactory.cs
View file

@ -24,12 +24,12 @@ namespace MapControl
projection = new EquirectangularProjection(crsId); projection = new EquirectangularProjection(crsId);
break; break;
case UpsNorthProjection.DefaultCrsId: case Wgs84UpsNorthProjection.DefaultCrsId:
projection = new UpsNorthProjection(); projection = new Wgs84UpsNorthProjection();
break; break;
case UpsSouthProjection.DefaultCrsId: case Wgs84UpsSouthProjection.DefaultCrsId:
projection = new UpsSouthProjection(); projection = new Wgs84UpsSouthProjection();
break; break;
case Wgs84AutoUtmProjection.DefaultCrsId: case Wgs84AutoUtmProjection.DefaultCrsId:

75
MapControl/Shared/PolarStereographicProjection.cs
View file

@ -26,70 +26,57 @@ namespace MapControl
public double FalseNorthing { get; set; } = 2e6; public double FalseNorthing { get; set; } = 2e6;
public Hemisphere Hemisphere { get; set; } public Hemisphere Hemisphere { get; set; }
public override Point RelativeScale(double latitude, double longitude) public static double RelativeScale(Hemisphere hemisphere, double equatorialRadius, double flattening, double scaleFactor, double latitude)
{ {
var phi = latitude * Math.PI / 180d; var sign = hemisphere == Hemisphere.North ? 1d : -1d;
var phi = sign * latitude * Math.PI / 180d;
if (Hemisphere == Hemisphere.South) var e = Math.Sqrt((2d - flattening) * flattening);
{
phi = -phi;
}
var e = Math.Sqrt((2d - Flattening) * Flattening);
var eSinPhi = e * Math.Sin(phi); var eSinPhi = e * Math.Sin(phi);
var t = Math.Tan(Math.PI / 4d - phi / 2d) var t = Math.Tan(Math.PI / 4d - phi / 2d)
/ Math.Pow((1d - eSinPhi) / (1d + eSinPhi), e / 2d); // p.161 (15-9) / Math.Pow((1d - eSinPhi) / (1d + eSinPhi), e / 2d); // p.161 (15-9)
var r = 2d * EquatorialRadius * ScaleFactor * t var r = 2d * equatorialRadius * scaleFactor * t
/ Math.Sqrt(Math.Pow(1d + e, 1d + e) * Math.Pow(1d - e, 1d - e)); // p.161 (21-33) / Math.Sqrt(Math.Pow(1d + e, 1d + e) * Math.Pow(1d - e, 1d - e)); // p.161 (21-33)
var m = Math.Cos(phi) / Math.Sqrt(1d - eSinPhi * eSinPhi); // p.160 (14-15) var m = Math.Cos(phi) / Math.Sqrt(1d - eSinPhi * eSinPhi); // p.160 (14-15)
var k = r / (EquatorialRadius * m); // p.161 (21-32)
return r / (equatorialRadius * m); // p.161 (21-32)
}
public override Point RelativeScale(double latitude, double longitude)
{
var k = RelativeScale(Hemisphere, EquatorialRadius, Flattening, ScaleFactor, latitude);
return new Point(k, k); return new Point(k, k);
} }
public override Point? LocationToMap(double latitude, double longitude) public override Point? LocationToMap(double latitude, double longitude)
{ {
var phi = latitude * Math.PI / 180d; var sign = Hemisphere == Hemisphere.North ? 1d : -1d;
var lambda = longitude * Math.PI / 180d; var phi = sign * latitude * Math.PI / 180d;
var lambda = sign * longitude * Math.PI / 180d;
if (Hemisphere == Hemisphere.South)
{
phi = -phi;
lambda = -lambda;
}
var e = Math.Sqrt((2d - Flattening) * Flattening); var e = Math.Sqrt((2d - Flattening) * Flattening);
var eSinPhi = e * Math.Sin(phi); var eSinPhi = e * Math.Sin(phi);
var t = Math.Tan(Math.PI / 4d - phi / 2d) var t = Math.Tan(Math.PI / 4d - phi / 2d)
/ Math.Pow((1d - eSinPhi) / (1d + eSinPhi), e / 2d); // p.161 (15-9) / Math.Pow((1d - eSinPhi) / (1d + eSinPhi), e / 2d); // p.161 (15-9)
var r = 2d * EquatorialRadius * ScaleFactor * t var r = 2d * EquatorialRadius * ScaleFactor * t
/ Math.Sqrt(Math.Pow(1d + e, 1d + e) * Math.Pow(1d - e, 1d - e)); // p.161 (21-33) / Math.Sqrt(Math.Pow(1d + e, 1d + e) * Math.Pow(1d - e, 1d - e)); // p.161 (21-33)
var x = r * Math.Sin(lambda); // p.161 (21-30) var x = sign * r * Math.Sin(lambda); // p.161 (21-30)
var y = -r * Math.Cos(lambda); // p.161 (21-31) var y = sign * -r * Math.Cos(lambda); // p.161 (21-31)
if (Hemisphere == Hemisphere.South)
{
x = -x;
y = -y;
}
return new Point(x + FalseEasting, y + FalseNorthing); return new Point(x + FalseEasting, y + FalseNorthing);
} }
public override Location MapToLocation(double x, double y) public override Location MapToLocation(double x, double y)
{ {
x -= FalseEasting; var sign = Hemisphere == Hemisphere.North ? 1d : -1d;
y -= FalseNorthing; x = sign * (x - FalseEasting);
y = sign * (y - FalseNorthing);
if (Hemisphere == Hemisphere.South)
{
x = -x;
y = -y;
}
var e = Math.Sqrt((2d - Flattening) * Flattening); var e = Math.Sqrt((2d - Flattening) * Flattening);
var r = Math.Sqrt(x * x + y * y); // p.162 (20-18) var r = Math.Sqrt(x * x + y * y); // p.162 (20-18)
@ -99,29 +86,23 @@ namespace MapControl
var phi = WorldMercatorProjection.ApproximateLatitude(e, t); // p.162 (3-5) var phi = WorldMercatorProjection.ApproximateLatitude(e, t); // p.162 (3-5)
var lambda = Math.Atan2(x, -y); // p.162 (20-16) var lambda = Math.Atan2(x, -y); // p.162 (20-16)
if (Hemisphere == Hemisphere.South) return new Location(sign * phi * 180d / Math.PI, sign * lambda * 180d / Math.PI);
{
phi = -phi;
lambda = -lambda;
}
return new Location(phi * 180d / Math.PI, lambda * 180d / Math.PI);
} }
} }
/// <summary> /// <summary>
/// Universal Polar Stereographic North Projection - EPSG:32661. /// Universal Polar Stereographic North Projection - EPSG:32661.
/// </summary> /// </summary>
public class UpsNorthProjection : PolarStereographicProjection public class Wgs84UpsNorthProjection : PolarStereographicProjection
{ {
public const string DefaultCrsId = "EPSG:32661"; public const string DefaultCrsId = "EPSG:32661";
public UpsNorthProjection() // parameterless constructor for XAML public Wgs84UpsNorthProjection() // parameterless constructor for XAML
: this(DefaultCrsId) : this(DefaultCrsId)
{ {
} }
public UpsNorthProjection(string crsId) public Wgs84UpsNorthProjection(string crsId)
{ {
CrsId = crsId; CrsId = crsId;
Hemisphere = Hemisphere.North; Hemisphere = Hemisphere.North;
@ -131,16 +112,16 @@ namespace MapControl
/// <summary> /// <summary>
/// Universal Polar Stereographic South Projection - EPSG:32761. /// Universal Polar Stereographic South Projection - EPSG:32761.
/// </summary> /// </summary>
public class UpsSouthProjection : PolarStereographicProjection public class Wgs84UpsSouthProjection : PolarStereographicProjection
{ {
public const string DefaultCrsId = "EPSG:32761"; public const string DefaultCrsId = "EPSG:32761";
public UpsSouthProjection() // parameterless constructor for XAML public Wgs84UpsSouthProjection() // parameterless constructor for XAML
: this(DefaultCrsId) : this(DefaultCrsId)
{ {
} }
public UpsSouthProjection(string crsId) public Wgs84UpsSouthProjection(string crsId)
{ {
CrsId = crsId; CrsId = crsId;
Hemisphere = Hemisphere.South; Hemisphere = Hemisphere.South;

4
MapControl/Shared/WorldMercatorProjection.cs
View file

@ -30,7 +30,7 @@ namespace MapControl
public override Point RelativeScale(double latitude, double longitude) public override Point RelativeScale(double latitude, double longitude)
{ {
var k = ScaleFactor(latitude); var k = RelativeScale(latitude);
return new Point(k, k); return new Point(k, k);
} }
@ -49,7 +49,7 @@ namespace MapControl
x / Wgs84MeterPerDegree); x / Wgs84MeterPerDegree);
} }
public static double ScaleFactor(double latitude) public static double RelativeScale(double latitude)
{ {
var phi = latitude * Math.PI / 180d; var phi = latitude * Math.PI / 180d;
var eSinPhi = Wgs84Eccentricity * Math.Sin(phi); var eSinPhi = Wgs84Eccentricity * Math.Sin(phi);